Antti Knowles

activity

20052026

most citedSpectral Statistics of Erd{\H o}s-Rényi Graphs II: Eigenvalue Spacing and the Extreme Eigenvalues

238 citations · 1.5k across the 41 of their papers we have counts for

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Showing 2010 · math-phShow all

2 papers · 2 filters

math-ph2010★ 43 cited

Quantum Diffusion and Delocalization for Band Matrices with General Distribution

Laszlo Erdos, Antti Knowles

We consider Hermitian and symmetric random band matrices $H$ in $d \geq 1$ dimensions. The matrix elements $H_{x y}$ , indexed by $x, y \in Λ \subset Z^{d}$ , are independent and their v…

math-ph2010★ 50 cited

Quantum Diffusion and Eigenfunction Delocalization in a Random Band Matrix Model

Laszlo Erdos, Antti Knowles

We consider Hermitian and symmetric random band matrices $H$ in $d \geq 1$ dimensions. The matrix elements $H_{x y}$ , indexed by $x, y \in Λ \subset Z^{d}$ , are independent, uniformly…